Write the Partial Fraction Decomposition of the Rational Expression $\frac { 3 x - 2 } { x ^ { 3 } - 1 }$

question 76

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 3 x - 2 } { x ^ { 3 } - 1 }$

• A) \(\frac { 3 } { x - 1 } + \frac { - 3 ( x - 7 ) } { x ^ { 2 } + x + 1 }\)
• B) \(\frac { \frac { 1 } { 2 } } { x - 1 } + \frac { \frac { 5 } { 2 } } { x + 1 }\)
• C) \(\frac { \frac { 1 } { 3 } } { x - 1 } + \frac { - \frac { 1 } { 3 } x + \frac { 7 } { 3 } } { \left( x ^ { 2 } + x + 1 \right) }\)
• D) \(\frac { 3 } { ( x - 1 ) ^ { 2 } } + \frac { 1 } { ( x - 1 ) ^ { 3 } }\)

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